∠1 is an angle formed by the two lines PF and YF at point F
We can also call this angle as ∠PFY because it indicates the point F in the middle where the angle is formed
We can call this angle as ∠YFP because it also indicates the point F in the middle where the angle is formed
we can also call this angle ∠F since F is the point where the angle is formed.
Correct answer: ∠PFY, ∠YFP, ∠F
The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em>
<em> is </em>
<em>.</em> - <em>The parent function </em>
<em> is vertically compressed by 9, then shifted down by 5 units to get </em>
<em />
<em />
Given

<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is: 
<u />
<u>The parent function</u>
We have:

First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:

So, we have:

Next, the function is shifted down by 5 units.
So, we have:


Read more about functions at:
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Answer:
<h2>B. Standard</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope
(x₁, y₁) - point
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
The standard form of an equation of a line:

The general fom of an equation of a line:

We have the equation 3x - 2y = 4 in standard form.
Answer:
feet
Step-by-step explanation:
In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 
Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.
First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

Solving for x, we find that

So the length of the original pole would be
feet
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ANSWER
The sphere is 10762 cubic centimeters bigger than the cube.
EXPLANATION
We want to find the difference in the volumes of the sphere and the cube.
To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.
The volume of a sphere is given as:

where r = radius
The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

The volume of a cube is given as:

where s = length of the side
The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

Therefore, the difference in the volumes of the sphere and cube is:

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.